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Finding the Fourth Proportional to 10,061.65, 15,092.48 and 3,821.67

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Solution

The fourth proportional to 10,061.65, 15,092.48 and 3,821.67 is: 5,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.65 : 15,092.48 = 3,821.67 : x
  2. Step 2: Convert to fraction form
    10,061.65/15,092.48 = 3,821.67/x
  3. Step 3: Cross multiply
    10,061.65x = 15,092.48 × 3,821.67
  4. Step 4: Simplify right side
    10,061.65x = 57,678,383.47
  5. Step 5: Solve for x
    x = 57,678,383.47/10,061.65
  6. Step 6: Final answer
    x = 5,732.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.